The Velocity V (In Cm/s) of a Rolling Ball at Time

question 107

Essay

The velocity v (in cm/s) of a rolling ball at time t (in seconds) is recorded below. Find an upper and lower estimate for the distance the ball has traveled during the ten-second interval. $\begin{array} { | c | c | c | c | c | c | c | c | c | c | c | c | } \hline t & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline v & 1 & 2.9 & 6.6 & 12.1 & 19.4 & 28.5 & 39.4 & 52.1 & 66.6 & 82.9 & 101 \\\hline\end{array}$

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Definitions:

Feedback Loops

Systems or processes where the output or result impacts or influences the input or action in a cycle, important in system regulation and learning.

Homeostasis

Homeostasis is the property of a system, such as the human body, to regulate its internal environment to maintain a stable, constant condition in response to changes in the external environment.

Hierarchical Disengagements

The process of detaching or withdrawing from levels of a structured order or authority system.

Primary Attachments

The initial deep and enduring emotional bonds formed in early childhood, particularly between infants and their caregivers.